OFFSET
1,2
COMMENTS
See A056840 for illustrations, valid also for this sequence up to n=4, but slightly misleading for polyplets with holes. See the colored areas in the illustration of A056840(5)=99 which correspond to identical 5-polyplets. (The 2+2+4-3 = 5 additional figures counted there correspond to the 4-square configuration with a hole inside ({2,4,6,8} on a numeric keyboard), with one additional square added in three inequivalent places: "inside" one angle (touching two sides), attached to one side, and attached to a corner. These do only count for 3 here, but for 8 in A056840.) It can be seen that A056840 counts a sort of "spanning trees" instead, i.e., simply connected graphs that connect all of the vertices (using only "King's moves", and maybe other additional constraints). - M. F. Hasler, Sep 29 2014
LINKS
M. F. Hasler, Illustration of A030222(5)=94 through a colored version of Vicher's image for A056840(5)=99. (Figures filled with same color do not count as different here.)
Eric Weisstein's World of Mathematics, Polyplet.
Wikipedia, Pseudo-polyomino
EXAMPLE
XXX..XX...XX..X.X..X.. (the 5 for n=3)
.......X...X...X....X.
.....................X
CROSSREFS
KEYWORD
nonn,hard,nice,more
AUTHOR
EXTENSIONS
Computed by Matthew Cook; extended by David W. Wilson
More terms from Joseph Myers, Sep 26 2002
STATUS
approved